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Finding the Fourth Proportional to 19,791, 29,699.46 and 7,479

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Solution

The fourth proportional to 19,791, 29,699.46 and 7,479 is: 11,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,791 : 29,699.46 = 7,479 : x
  2. Step 2: Convert to fraction form
    19,791/29,699.46 = 7,479/x
  3. Step 3: Cross multiply
    19,791x = 29,699.46 × 7,479
  4. Step 4: Simplify right side
    19,791x = 222,122,261.34
  5. Step 5: Solve for x
    x = 222,122,261.34/19,791
  6. Step 6: Final answer
    x = 11,223.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.